86352993 has 16 divisors (see below), whose sum is σ = 128075200. Its totient is φ = 57503520.

The previous prime is 86352947. The next prime is 86352997. The reversal of 86352993 is 39925368.

86352993 is a `hidden beast` number, since 8 + 635 + 2 + 9 + 9 + 3 = 666.

It is not a de Polignac number, because 86352993 - 2⁸ = 86352737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86352997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40293 + ... + 42381.

It is an arithmetic number, because the mean of its divisors is an integer number (8004700).

Almost surely, 2^86352993 is an apocalyptic number.

It is an amenable number.

86352993 is a deficient number, since it is larger than the sum of its proper divisors (41722207).

86352993 is a wasteful number, since it uses less digits than its factorization.

86352993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3623 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 86352993 is about 9292.6311128765. The cubic root of 86352993 is about 442.0035915571.

It can be divided in two parts, 8635 and 2993, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 86352993 in words is "eighty-six million, three hundred fifty-two thousand, nine hundred ninety-three".